On the zero viscosity limit
| dc.creator | Olesen, P. | |
| dc.date | 2007-01-25 | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T07:43:31Z | |
| dc.date.available | 2026-07-07T07:43:31Z | |
| dc.description | The question of whether the zero viscosity limit $ν\to 0$ is identical to the no viscosity $ν\equiv 0$ case is investigated in a simple shell (GOY) model with only three shells. We find that it is possible to express two velocities in terms of Bessel functions. The third velocity function acts as a background. The relevant Bessel functions are infinitely oscillating as $ν\to 0$ and do not have a limiting value. Therefore two of the velocity functions of this three-shell model are not analytic functions of $ν$ at the point $ν=0$. We also mention a perturbative method which may be used to improve the model. | |
| dc.description | 10 pages. Some formulas have been simplified and clarifying remarks have been added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701237 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122857 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Astrophysics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | On the zero viscosity limit | |
| dc.type | text |